Question

simply(
$( \sqrt{x } + \sqrt{y} ) {}^{2} - ( \sqrt{x} - \sqrt{y} ) {}^{2}$
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Answer 1

$\huge\boxed{\texttt{\fcolorbox{purple}{blue}{Heya !!!}}}$

QUES:

$(x + y) {}^{2} - {(x - y)}^{2}$

ANS:

$= ( {x}^{2} + {y}^{2} + 2xy) - ( {x}^{2} + {y}^{2} - 2xy)$

$= {x}^{2} + {y}^{2} + 2xy - {x}^{2} - {y}^{2} + 2xy$

$= 2xy + 2xy$

$= 4xy$

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Answer 2

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION \: \: \red{ \mid}}}}}}}}$


$\Longrightarrow \: \underline{ \underline{ \bold{ \: \: FORMULA \: \: USE \: \: : }}} \to$



$\star \: \: \: \: \: \boxed{ \bold{ \: \: a {}^{2} - b {}^{2} = (a + b)(a - b) \: \: \: }}$


$\bold{( \sqrt{x} + \sqrt{y} ) {}^{2} - ( \sqrt{x} - \sqrt{y} ) {}^{2} } \\ \\ \bold{ = [(\sqrt{x} + \sqrt{y} ) + ( \sqrt{x} - \sqrt{y} )][( \sqrt{x} + \sqrt{y} ) - ( \sqrt{x} - \sqrt{y} )]} \\ \\ \bold{ = ( \sqrt{x} + \sqrt{y} + \sqrt{x} - \sqrt{y} )( \sqrt{x} + \sqrt{y} - \sqrt{x} + \sqrt{y} } \: ) \\ \\ \bold{ =( 2 \sqrt{x}) \times (2 \sqrt{y} ) } \\ \\ = \boxed{ \bold{ 4 \sqrt{xy} }}$